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Simplifying 7p + -1(3q + 4) = -2(2p + -1) + 10 Reorder the terms: 7p + -1(4 + 3q) = -2(2p + -1) + 10 7p + (4 * -1 + 3q * -1) = -2(2p + -1) + 10 7p + (-4 + -3q) = -2(2p + -1) + 10 Reorder the terms: -4 + 7p + -3q = -2(2p + -1) + 10 Reorder the terms: -4 + 7p + -3q = -2(-1 + 2p) + 10 -4 + 7p + -3q = (-1 * -2 + 2p * -2) + 10 -4 + 7p + -3q = (2 + -4p) + 10 Reorder the terms: -4 + 7p + -3q = 2 + 10 + -4p Combine like terms: 2 + 10 = 12 -4 + 7p + -3q = 12 + -4p Solving -4 + 7p + -3q = 12 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -4 + 7p + 4p + -3q = 12 + -4p + 4p Combine like terms: 7p + 4p = 11p -4 + 11p + -3q = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 -4 + 11p + -3q = 12 + 0 -4 + 11p + -3q = 12 Add '4' to each side of the equation. -4 + 11p + 4 + -3q = 12 + 4 Reorder the terms: -4 + 4 + 11p + -3q = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 11p + -3q = 12 + 4 11p + -3q = 12 + 4 Combine like terms: 12 + 4 = 16 11p + -3q = 16 Add '3q' to each side of the equation. 11p + -3q + 3q = 16 + 3q Combine like terms: -3q + 3q = 0 11p + 0 = 16 + 3q 11p = 16 + 3q Divide each side by '11'. p = 1.454545455 + 0.2727272727q Simplifying p = 1.454545455 + 0.2727272727q
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